Some use of some “symmetries” of some random process
Spatial birth-and-dead processes in random environment.
Special points of the Brownian net.
Spectral gap and logarithmic Sobolev inequality for unbounded conservative spin systems
Spectral gap for an unrestricted Kawasaki type dynamics
Spectral gap for an unrestricted Kawasaki type dynamics
We give an accurate asymptotic estimate for the gap of the generator of a particular interacting particle system. The model we consider may be informally described as follows. A certain number of charged particles moves on the segment [1,L] according to a Markovian law. One unitary charge, positive or negative, jumps from a site k to another site k'=k+1 or k'=k-1 at a rate which depends on the charge at site k and at site k'. The total charge of the system is preserved by the dynamics, in...
Spectral gap for the interchange process in a box.
Spontaneous breaking of continuous rotational symmetry in two dimensions.
Stability conditions of a queueing system model via fluid limits
We study the ergodicity of a multi-class queueing model via fluid limits which have the advantage of describing the model in macroscopic form. We consider a model of processing bandwidth requests. Our system is defined by a network of capacity C=N, and a queue which contains an infinite number of items of various sizes 1, a' and b' with 1 < a' < b' < N. The problem considered is: Under what conditions on the parameters of some large classes of networks, do they reach the stationary regime?...
Stability in some rarefaction models
Stability of queueing network system with two stations and classes.
Stability of queueing networks.
Stability of retrial queues with versatile retrial policy.
Stability properties of constrained jump-diffusion processes.
Standard and retrial queueing systems: a comparative analysis.
We describe main models and results of a new branch of the queueing theory, theory of retrial queues, which is characterized by the following basic assumption: a customer who cannot get service (due to finite capacity of the system, balking, impatience, etc.) leaves the service area, but after some random delay returns to the system again. Emphasis is done on comparison with standard queues with waiting line and queues with losses. We give a survey of main results for both single server M/G/1 type...
Standard stochastic coalescence with sum kernels.
State classification for a class of interacting superprocesses with location dependent branching.
State dependent multitype spatial branching processes and their longtime behavior.
State space collapse for queueing networks.
Stationary inequalities for dams with content-dependent release rate